3457322401 has 9 divisors (see below), whose sum is σ = 3744555699. Its totient is φ = 3190668936.

The previous prime is 3457322389. The next prime is 3457322423. The reversal of 3457322401 is 1042237543.

It is a happy number.

The square root of 3457322401 is 58799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 511438225 + 2945884176 = 22615^2 + 54276^2 .

It is not a de Polignac number, because 3457322401 - 2⁵ = 3457322369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3457322431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 762126 + ... + 766648.

Almost surely, 2^3457322401 is an apocalyptic number.

3457322401 is the 58799-th square number.

3457322401 is the 29400-th centered octagonal number.

It is an amenable number.

3457322401 is a deficient number, since it is larger than the sum of its proper divisors (287233298).

3457322401 is an frugal number, since it uses more digits than its factorization.

3457322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The cubic root of 3457322401 is about 1512.0980733453.

Adding to 3457322401 its reverse (1042237543), we get a palindrome (4499559944).

The spelling of 3457322401 in words is "three billion, four hundred fifty-seven million, three hundred twenty-two thousand, four hundred one".